Fractionally charged Wilson loops as a probe of $θ$-dependence in $CP^{N-1}$ sigma models: Instantons vs. large N
| dc.creator | Keith-Hynes, Patrick | |
| dc.creator | Thacker, H. B. | |
| dc.date | 2008-04-09 | |
| dc.date.accessioned | 2026-07-07T11:49:44Z | |
| dc.date.available | 2026-07-07T11:49:44Z | |
| dc.description | The behavior of Wilson loops with fractional charge is used to study the $θ$-dependence of the free energy density $ε(θ)$ for the $CP^1$, $CP^5$, and $CP^9$ sigma models in two spacetime dimensions. The function $ε(θ)$ is extracted from the area law for a Wilson loop of charge $q=θ/2π$. For $CP^1$, $ε(θ)$ is smooth in the region $θ\approxπ$ and well-described by a dilute instanton gas throughout the range $0<θ<2π$. For $CP^5$ and $CP^9$ the energy exhibits a clear cusp and evidence for discrete, degenerate vacua at $θ= π$, as expected from large $N$ arguments. For $CP^9$ the $θ$-dependence is in good quantitative agreement with the leading order large $N$ prediction $ε(θ)={1/2}χ_tθ^2$ throughout the range $0<θ<π$. | |
| dc.description | 16 pages, 10 figures | |
| dc.identifier | https://arxiv.org/abs/0804.1534 | |
| dc.identifier | http://arxiv.org/abs/0804.1534 | |
| dc.identifier | Phys.Rev.D78:025009,2008 | |
| dc.identifier | doi:10.1103/PhysRevD.78.025009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/203341 | |
| dc.subject | High Energy Physics - Lattice | |
| dc.title | Fractionally charged Wilson loops as a probe of $θ$-dependence in $CP^{N-1}$ sigma models: Instantons vs. large N | |
| dc.type | text |